COUNTABLE S*-COMPACTNESS IN L-SPACES
In this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. I¦ L = [0, 1], then countable strong compactness implies countable S*-compactness and countable S*-compactness implies coun...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2005
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oai:scielo:S0716-091720050003000072006-03-10COUNTABLE S*-COMPACTNESS IN L-SPACESQIN YANG,GUI L-topology ßa-open cover Qa open cover S*-compactness countable S* compactness In this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. I¦ L = [0, 1], then countable strong compactness implies countable S*-compactness and countable S*-compactness implies countable F-compactness, but each inverse is not true. The intersection of a countably S*-compact L-set and a closed L-set is countably S*-compact. The continuous image of a countably S*-compact L-set is countably S*-compact. A weakly induced L-space (X, T ) is countably S*-compact if and only if (X, [T]) is countably compactinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.24 n.3 20052005-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300007en10.4067/S0716-09172005000300007 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
L-topology ßa-open cover Qa open cover S*-compactness countable S* compactness |
| spellingShingle |
L-topology ßa-open cover Qa open cover S*-compactness countable S* compactness QIN YANG,GUI COUNTABLE S*-COMPACTNESS IN L-SPACES |
| description |
In this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. I¦ L = [0, 1], then countable strong compactness implies countable S*-compactness and countable S*-compactness implies countable F-compactness, but each inverse is not true. The intersection of a countably S*-compact L-set and a closed L-set is countably S*-compact. The continuous image of a countably S*-compact L-set is countably S*-compact. A weakly induced L-space (X, T ) is countably S*-compact if and only if (X, [T]) is countably compact |
| author |
QIN YANG,GUI |
| author_facet |
QIN YANG,GUI |
| author_sort |
QIN YANG,GUI |
| title |
COUNTABLE S*-COMPACTNESS IN L-SPACES |
| title_short |
COUNTABLE S*-COMPACTNESS IN L-SPACES |
| title_full |
COUNTABLE S*-COMPACTNESS IN L-SPACES |
| title_fullStr |
COUNTABLE S*-COMPACTNESS IN L-SPACES |
| title_full_unstemmed |
COUNTABLE S*-COMPACTNESS IN L-SPACES |
| title_sort |
countable s*-compactness in l-spaces |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2005 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300007 |
| work_keys_str_mv |
AT qinyanggui countablescompactnessinlspaces |
| _version_ |
1718439744444039168 |